Average Error: 0.3 → 0.3
Time: 3.9s
Precision: 64
\[\left(\left(x \cdot 3\right) \cdot y\right) \cdot y\]
↓
\[\left(\left(x \cdot 3\right) \cdot y\right) \cdot y\]
\left(\left(x \cdot 3\right) \cdot y\right) \cdot y
↓
\left(\left(x \cdot 3\right) \cdot y\right) \cdot y
double f(double x, double y) {
        double r790843 = x;
        double r790844 = 3.0;
        double r790845 = r790843 * r790844;
        double r790846 = y;
        double r790847 = r790845 * r790846;
        double r790848 = r790847 * r790846;
        return r790848;
}
↓
double f(double x, double y) {
        double r790849 = x;
        double r790850 = 3.0;
        double r790851 = r790849 * r790850;
        double r790852 = y;
        double r790853 = r790851 * r790852;
        double r790854 = r790853 * r790852;
        return r790854;
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original0.3
Target0.3
Herbie0.3
\[\left(x \cdot \left(3 \cdot y\right)\right) \cdot y\]

Derivation

  1. Initial program 0.3

    \[\left(\left(x \cdot 3\right) \cdot y\right) \cdot y\]

  2. Final simplification0.3

    \[\leadsto \left(\left(x \cdot 3\right) \cdot y\right) \cdot y\]

Reproduce

herbie shell --seed 2020035 +o rules:numerics
(FPCore (x y)
  :name "Diagrams.Segment:$catParam from diagrams-lib-1.3.0.3, B"
  :precision binary64

  :herbie-target
  (* (* x (* 3 y)) y)

  (* (* (* x 3) y) y))